108008701819200 has 4704 divisors, whose sum is σ = 527255260448000. Its totient is φ = 21569494302720.

The previous prime is 108008701819199. The next prime is 108008701819307. The reversal of 108008701819200 is 2918107800801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 98818573854 + ... + 98818574946.

Almost surely, 2^{108008701819200} is an apocalyptic number.

108008701819200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108008701819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263627630224000).

108008701819200 is an abundant number, since it is smaller than the sum of its proper divisors (419246558628800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108008701819200 is a wasteful number, since it uses less digits than its factorization.

108008701819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 108008701819200 in words is "one hundred eight trillion, eight billion, seven hundred one million, eight hundred nineteen thousand, two hundred".